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Finding the Third Proportional to 519,901,596 and 807,618,609

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Solution

The third proportional to 519,901,596 and 807,618,609 is: 1,254,560,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,901,596 : 807,618,609 = 807,618,609 : x
  2. Step 2: Convert to fraction form
    519,901,596/807,618,609 = 807,618,609/x
  3. Step 3: Cross multiply
    519,901,596x = 807,618,609 × 807,618,609
  4. Step 4: Simplify right side
    519,901,596x = 652,247,817,603,094,912
  5. Step 5: Solve for x
    x = 652,247,817,603,094,912/519,901,596
  6. Step 6: Final answer
    x = 1,254,560,137.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.